Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448bg |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
926747328 = 26 · 3 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-732,7242] |
[a1,a2,a3,a4,a6] |
j |
140608/3 |
j-invariant |
L |
1.5706194146361 |
L(r)(E,1)/r! |
Ω |
1.5706194146345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32448e1 16224e3 97344cj1 192b1 |
Quadratic twists by: -4 8 -3 13 |